The thing we can do with priority queue, can also be done with multiset. Then what is the quality that's unique in priority queue? Can anyone give any example where multiset fails and only priority queue works?
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More complicated data structures (those with more functionality) are usually slower. I think that's the case here too. Priority queue is faster.
multiset has higher constant factor(for rotations and whatever) you can read more about how red-black trees works
Others already compared tree data structures to priority queue. I want to add that I've had plenty TLE submissions with
multisetI had to usemapfor counting number of appearance instead.multisetandmultimapcan be very slow when there are too many duplicated keys so keep that in mind when you use them.